Micro-Shape Control, Riblets and Drag Minimization
Résumé
Relying on the rugosity effect, we analyse the drag minimization problem in relation with the micro-structure of the surface of a given obstacle. We construct a mathematical framework for the optimization problem, prove the existence of an optimal solution by Gamma-convergence arguments and analyse the stability of the drag with respect to the micro-structure. For Stokes flows we justify why rugosity increases the drag, while for Navier-Stokes flows we give some numerical evidence supporting the thesis that adding rugosity on specific regions of the obstacle may contribute to decrease the drag.
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Bonnivard_Bucur_--_Micro-Shape_Control_Riblets_and_Drag_Minimization.pdf (491.45 Ko)
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